$($Nonannual compounding using a calculator$)$ Dennis Rodman has a $$4,500$ debt balance on his Visa card that

charges an APR of $13\mathrm{.}1$ percent compounded monthly. Dennis's current minimum monthly payment is $4$ percent of

his debt balance, $$180.$ How many months $($round up$)$ will it take Dennis to pay off his credit card if he pays the

current miminum payment of $$180$ at the end of each month?

How many months will it take Dennis to pay off his credit card?

months $($Round up to the nearest unit.$)$